Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472cs |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-68652367872 = -1 · 226 · 3 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1023,1023] |
[a1,a2,a3,a4,a6] |
Generators |
[2659384:24969825:175616] |
Generators of the group modulo torsion |
j |
451217663/261888 |
j-invariant |
L |
7.7707208750677 |
L(r)(E,1)/r! |
Ω |
0.66027639841703 |
Real period |
R |
11.768890867667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472b1 16368p1 |
Quadratic twists by: -4 8 |